The number of bacteria grown in a lab can be modeled by P(t) = 300 \cdot 2^{4t}, where t is the number of hours. Which expression is equivalent to P(t)?

- 300 \cdot 8^{t}
- 300 \cdot 16^{t}
- 300^{t} \cdot 2^{4}
- 300^{2t} \cdot 2^{2t}
Given that
P\left(t\right)\ =\ 300\ \cdot2^{4t}
This can be written as P(t) = 300 \cdot( 2^{4})^{t} = 300 \cdot 16^{t}
So option 3 is the correct expression which is equivalent to P(t).
I found an answer from en.wikipedia.org
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I found an answer from www.jmap.org
·ALGEBRA I
Aug 16, 2018 ... I The number of bacteria grown in a lab can be modeled by. P(t) = 300 • 24t, where tis the number of hours. Which expression is equivalent to ...
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